galois | performant NumPy extension for Galois fields | Data Manipulation library

 by   mhostetter Python Version: 0.3.10 License: MIT

kandi X-RAY | galois Summary

kandi X-RAY | galois Summary

galois is a Python library typically used in Utilities, Data Manipulation, Numpy applications. galois has no bugs, it has no vulnerabilities, it has a Permissive License and it has low support. However galois build file is not available. You can install using 'pip install galois' or download it from GitHub, PyPI.

The galois library is a Python 3 package that extends NumPy arrays to operate over finite fields. The user creates a Galois field array class using GF = galois.GF(p**m). The Galois field array class GF is a subclass of np.ndarray and its constructor x = GF(array_like) mimics the call signature of np.array(). The Galois field array x is operated on like any other NumPy array except all arithmetic is performed in GF(p^m), not R. Internally, the finite field arithmetic is implemented by replacing NumPy ufuncs. The new ufuncs are written in pure Python and just-in-time compiled with Numba. The ufuncs can be configured to use either lookup tables (for speed) or explicit calculation (for memory savings).
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            kandi-support Support

              galois has a low active ecosystem.
              It has 171 star(s) with 17 fork(s). There are 4 watchers for this library.
              There were 2 major release(s) in the last 6 months.
              There are 30 open issues and 232 have been closed. On average issues are closed in 102 days. There are 2 open pull requests and 0 closed requests.
              It has a neutral sentiment in the developer community.
              The latest version of galois is 0.3.10

            kandi-Quality Quality

              galois has no bugs reported.

            kandi-Security Security

              galois has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.

            kandi-License License

              galois is licensed under the MIT License. This license is Permissive.
              Permissive licenses have the least restrictions, and you can use them in most projects.

            kandi-Reuse Reuse

              galois releases are available to install and integrate.
              Deployable package is available in PyPI.
              galois has no build file. You will be need to create the build yourself to build the component from source.
              Installation instructions, examples and code snippets are available.

            Top functions reviewed by kandi - BETA

            kandi has reviewed galois and discovered the below as its top functions. This is intended to give you an instant insight into galois implemented functionality, and help decide if they suit your requirements.
            • Create FieldArray
            • Build lookup tables
            • Verify that argument is an instance of type
            • Return FieldArray
            • Compute the Tt tensor
            • Create a FieldArray
            • Compute the T - T T T
            • Factory for FieldArray
            • Compute the CDT curve
            • Greatest common divider
            • Checks if n is a prime number
            • R Check if n is smooth
            • Checks if values are a polynomial
            • Generate a random prime
            • Calculates the Legendre symbol for a prime number
            • Convert a polynomial polynomial polynomial polynomial
            • Calculate the coefficients of an array
            • Return the sigma of n
            • Return a list of valid codes
            • Return the number of prime primes
            • Compute the Nt tensor of x
            • Calculate the berlemann coefficients of a sequence
            • Calculate the coefficients of a carmichael function
            • Compute the Lagrange polynomials
            • Return a list of primitive elements
            • Check if n is a perfect power
            • Construct a polynomial polynomials
            Get all kandi verified functions for this library.

            galois Key Features

            No Key Features are available at this moment for galois.

            galois Examples and Code Snippets

            No Code Snippets are available at this moment for galois.

            Community Discussions

            QUESTION

            How to represent the elements of the Galois filed GF(2^8) and perform arithmetic in NTL library
            Asked 2021-May-29 at 22:38

            I am new to NTL library for its GF2X, GF2E, GF2EX, etc. Now, I want to perform multiplication on the Galois field GF(2^8). The problem is as following:

            ...

            ANSWER

            Answered 2021-May-29 at 22:38

            Again, I don't know NTL, and I'm running Visual Studio 2015 on Windows 7. I've downloaded what I need, but have to build a library with all the supplied source files which will take a while to figure out. However, based on another answer, this should get you started. First, initialize the reducing polynomial for GF(256):

            Source https://stackoverflow.com/questions/67747715

            QUESTION

            Create canvas box based on json data
            Asked 2021-May-10 at 04:06

            i wanted to make a box based on the json data width and height. however my box is already like this. can i ask how can i make a horizontal multiple box based on json data width and height? and not creating like this ctx.rect(20, 21, 100, 100);

            You can access the code here: https://codesandbox.io/s/reverent-galois-nlp8g?file=/index.html

            This is the code:

            ...

            ANSWER

            Answered 2021-May-10 at 04:06

            QUESTION

            Why does targeting a child component work in Vue2 without using the `::v-deep` selector?
            Asked 2021-Apr-29 at 16:36

            I have a project in Vue 2.x and I am wondering why targeting a child component's class works without using the /deep/, ::v-deep or >>> selectors.

            I am using these within the project:

            ...

            ANSWER

            Answered 2021-Apr-29 at 16:36

            You can affect only root element of child component without using ::v-deep. If you write like this, the style will not be applied.

            Source https://stackoverflow.com/questions/67321495

            QUESTION

            Why AES-256 with GCM adds 16 bytes to the ciphertext size?
            Asked 2021-Apr-10 at 15:31

            I'm using Golang's crypto package, crypto/aes specifically, with a 32 bytes key (so, AES-256) and the GCM method (Galois/Counter Mode).
            I read from a file multiple chunks of 16384 bytes and generate a cipher block, a GCM method and a random nonce of 12 bytes.
            Then, I prepend the nonce to the ciphertext in order to split them when decrypting, to access the nonce (because the size of 12 bytes is known).

            One would expect that the generated ciphertext is 16384 + 12 bytes = 16396; but, when actually encrypting, I get a size of 16412 bytes, so 16 bytes are added. After I decrypt each chunk, I get the "normal" size of 16384.

            Here's a fast example.

            ...

            ANSWER

            Answered 2021-Apr-10 at 15:31

            AES-GCM provides confidentiality, integrity, and authentication. To provide the last two, one needs an authentication tag.

            The 16-byte tag size is always calculated, and in your case it is appended.

            More details;

            1. Ciphertext size: This is always equal to plaintext size since AES-GCM internally uses CTR mode for encryption that requires no padding.

            2. Nonce/IV size: GCM can accept large nonce sizes ( or small), however, 12-byte is recommended since it doesn't require an additional process. Any value other than 12-byte is processed with GHASH;

            Source https://stackoverflow.com/questions/67028762

            QUESTION

            Importing and exporting keys
            Asked 2021-Jan-23 at 00:55

            Hello I am trying to import and export (to and from string) public/private keys for RSA, ECC, AES GCM, and ChaChaPoly1305.

            I am using bouncy castle 1.59 to accomplish most of this. RSA I can use a KeyFactory natively supported by java so that is probably fine.

            However, the other ones do not seem possible. Does anyone know of previous work in this area? I am looking for something like wolfcrypt's import and export functionality.

            Essentially I need to be able to store a key and then recreate it.

            Here is my code ( I know its a lot but its what I got).

            Important snippet

            ...

            ANSWER

            Answered 2021-Jan-23 at 00:55

            The description 'DER' is ambiguous, but in the contrast you quoted it probably means that RSA keys are in the ASN.1 format(s?) defined by PKCS1 aka RFC8017 et pred Appendix A.1 which like all ASN.1 data can be and for crypto often is encoded in DER. 'X.963' is clearly a mistake; the relevant standards for ECC crypto are X9.62 and X9.63, but the publickey format which indeed is not ASN.1/DER was defined by X9.62 and copied by X9.63, while the privatekey format was not standardized at all, but is often a raw octet string and not ASN.1/DER. (X.(number) standards are from the international treaty organization formerly called International Consultative Committee on Telephony and Telegraphy CCITT and now International Telecommunication Union Telecommunication Standardization Sector ITU-T; X9.(number) are from the USA private-sector financial-industry organization ANSI accredited standards committee (ASC) X9.) OTOH Java crypto encoding for private key is PKCS8 aka RFC5208 (unencrypted) which adds metadata. To convert a Java key to the format your 'wolfcrypt' apparently wants is fairly easy, by just extracting the algorithm-dependent element, while the reverse, using a 'wolfcrypt' key in Java, would be quite difficult with just Java, but adding BouncyCastle helps a lot; there are numerous existing Qs about both (or all three) of these, which I will dig up for you later.

            Some other, partial, comments:

            generateChaChaPoly1305Key, generateAESGCMKey: KeyGenerator.init(int) takes the number of bits, which should be 256 for ChaCha20 and 128, 192 or 256 for AES. (So does KeyPairGenerator and you got that one right for RSA.) The IV should NOT be generated with the key for AES-GCM; see more below.

            unpackRsaPrivateKey, unpackRsaPublicKey, unpackECCPrivateKey, unpackECCPublicKey: the 'PrivateKey' methods use key.getPublicKey() and the 'PublicKey' methods use key.getPrivateKey() which appears to be backwards. Assuming you change the PrivateKey methods to use the privatekey, as above the Java encoding of a privatekey is PKCS8EncodedKeySpec -- not X509EncodedKeySpec which is only for publickey.

            unpackAESGCMKey, unpackChaChaPoly1305Key: to use a whole byte[] as the key, you don't need to specify , 0, array.length, you can use the simpler ctor SecretKeySpec(byte[], String algorithm).

            encrypt*: you do new String(byte[]) on the ciphertext, and (String_var).getBytes() in the decrypt* methods. THIS IS NOT SAFE. Java String is designed to hold characters, and although crypto still uses the traditional terms plaintext and ciphertext, since about 1950 the plaintext is not required to be and the ciphertext is NEVER actually characters, but rather arbitrary bit patterns. Trying to put these bits in a Java String and then get them back will usually fail, especially if done across multiple systems (e.g. encrypt on A, transmit, and decrypt on B, which is a common use case). The best thing is to handle them consistently as byte[]; if you must run them through something that can't handle arbitrary bits, like SMS or the Web (HTML), you need to encode in a text form that preserves all bits; the common methods for this are hexadecimal (or hex) and base64.

            encryptAESGCM: it's not clear what key.getIV() does/uses, but if this repeats an IV value for multiple encryptions using the same key, that is CATASTROPHIC; even one reuse destroys all authenticity (attacker can forge any data), and depending on your data anywhere from one to a small number of reuses (like two or ten) destroys confidentiality (attacker can expose supposedly secret data).

            encryptChaChaPoly1305: this clearly uses the same nonce, all-zeros, for every encryption; if you reuse the key at all, which seems to be the point of your design, this destroys all security in the same way as for AES-GCM.

            At this point I gave up. You should throw out this design and replace it with one from someone who knows about cryptography.

            Source https://stackoverflow.com/questions/65847188

            QUESTION

            ERROR: TypeError: non-boolean (GF{7,Int64}) used in boolean context
            Asked 2021-Jan-18 at 20:20

            Surfing on the web I looked the way to solve linear systems equations over a finite field or Galois field

            But the code is using a Julia version 0.4 or 0.5 or 0.6 because I want to check by hand the results.

            ...

            ANSWER

            Answered 2021-Jan-15 at 11:35

            Your code is defining a custom numeric type so you need to provide missing numeric function from Base. Here abs is missing and hence you could do:

            Source https://stackoverflow.com/questions/65730190

            QUESTION

            What could be the benefit of such a complicated function to test if variable is not zero?
            Asked 2020-Aug-25 at 22:33

            I'm working on my master's thesis (computer science) on code which is written for post-quantum-secure signatures. The whole thing can be found here but is not important here. For my thesis I tried to explain a 'simple' function, which is not so simple at all.

            The function tests, if a variable is non-zero in the galois-field GF(16). (GF(16) here can be understood as 4-bit unsigned integers). This function looks as follows:

            ...

            ANSWER

            Answered 2020-Aug-25 at 21:08

            The reason for this code is because it is branchless.

            Testing for a condition tends to be an expensive operation, whereas addition, subtraction, and bitwise operators are not.

            This however is premature optimization. With -O3, the first function compiles to this:

            Source https://stackoverflow.com/questions/63586962

            QUESTION

            Example to add debounce to autocomplete Ant Design
            Asked 2020-Jul-11 at 04:50

            I need a bit of help here, I am new to react and I have this doubt.

            I am not getting a working example of a to AutoComplete with debounce. i.e. my AutoComplete component is delaying in displaying entered text and while I am searching the solution for this I got to know we can overcome this by using AutoComplete with debounce. So please anyone can help with this by adding debounce to given sandbox link OR can suggest to me why it is delaying while displaying the entered text. Thank you.

            Reference: https://codesandbox.io/s/crazy-galois-5v1mi

            ...

            ANSWER

            Answered 2020-Jul-11 at 04:50

            Use debounce method from lodash.

            Source https://stackoverflow.com/questions/62833930

            QUESTION

            Unable to show icon when i hover using reactjs
            Asked 2020-May-23 at 10:14

            I'm new to the framework. My objective is to show the icon when i hover on the tab, But i couldn't able to perform hover. I've tried by giving css as display: none and hover too, but didn't worked. Can anyone help me in solving this issue?

            Here is the code:

            ...

            ANSWER

            Answered 2020-May-23 at 09:55

            I forked your code and fixed it for you; What was wrong? All css pseudo classes need to have a : delimiter, not a .. Additionally, the hover was on the wrong element

            Source https://stackoverflow.com/questions/61969393

            QUESTION

            Whether Python3.7.7 has cross module call instructions? I am writing an image processing project based on pyqt5
            Asked 2020-May-17 at 14:04

            I customized two modules, One is main.py, the other is algorithm.py, the main.py as program execution module. GUI is defined here.

            look the code at def menuEvent(self) in main.py

            main.py

            ...

            ANSWER

            Answered 2020-May-17 at 14:04

            Community Discussions, Code Snippets contain sources that include Stack Exchange Network

            Vulnerabilities

            No vulnerabilities reported

            Install galois

            The Getting Started guide is intended to assist the user in installing the library, creating two example arrays, and performing basic array arithmetic. See Basic Usage for more detailed discussions and examples.
            The latest version of galois can be installed from PyPI using pip. Import the galois package in Python.

            Support

            The documentation for galois is located at https://galois.readthedocs.io/en/latest/.
            Find more information at:

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            pip install galois

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            gh repo clone mhostetter/galois

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